Question 15 Find the domain of $$ f(x)=\sqrt{x-2} $$ Use two lower case o's for infinity. "oo" is how you type in infinity. Question Help: Video $$ \square $$ Message instructor Submit Question Question 16

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UpStudy AI · Accepted Answer

To find the domain of the function $$ f(x) = \sqrt{x - 2} $$, we need to determine the values of $$ x $$ for which the expression under the square root is non-negative, since the square root of a negative number is not defined in the set of real numbers.

### Step 1: Set the expression under the square root greater than or equal to zero.

$$
x - 2 \geq 0
$$

### Step 2: Solve the inequality.

To solve for $$ x $$, we can add 2 to both sides:

$$
x \geq 2
$$

### Step 3: Write the domain in interval notation.

The solution indicates that $$ x $$ can take any value greater than or equal to 2. In interval notation, this is expressed as:

$$
[2, oo)
$$

### Conclusion

The domain of the function $$ f(x) = \sqrt{x - 2} $$ is $$ [2, oo) $$.
The domain of $$ f(x) = \sqrt{x - 2} $$ is all real numbers $$ x $$ such that $$ x \geq 2 $$, which is written as $$ [2, \infty) $$.

Question 15
Find the domain of
Use two lower case o’s for infinity. “oo” is how you type in infinity.
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Question 16

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Solución

Step 1: Set the expression under the square root greater than or equal to zero.

Step 2: Solve the inequality.

Step 3: Write the domain in interval notation.

Conclusion

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Question 15 Find the domain of Use two lower case o’s for infinity. “oo” is how you type in infinity. Question Help: Video Message instructor Submit Question Question 16